Question
In: Math
3A. Find the domain and range of the function. (Enter your answer using interval notation.) h(x)...
3A.
Find the domain and range of the function. (Enter your answer using interval notation.)
h(x) =
| 8 |
| x + 7 |
Domain
Range
3B.
Determine whether y is a function of x.
xy + x3 − 2y = 0
Yes, y is a function of x.
No, y is not a function of x.
It cannot be determined whether y is a function of x.
3C.
Consider the following function. Find the composite functions
f ∘ g
and
g ∘ f.
Find the domain of each composite function. (Enter your domains using interval notation.)
f(x) =
| x − 6 |
g(x) = x2
(f ∘ g)(x) =
domain=
g ∘ f)(x)=
domain=
Are the two composite functions equal?
yes or no
3D.
Evaluate the sine, cosine, and tangent of the angle. Do not use a calculator.
−60°
sin(−60°)=
cos(−60°)=
tan(−60°)=
3E.
Evaluate the sine, cosine, and tangent of the angle. Do not use a calculator.
420°
sin(420°)=
cos(420°)=
tan(420°)=
Thank you!
Solutions
milcah answered 2 years agoRelated Solutions
Consider the function f(x)=arctan [(x+6)/(x+5)] Express the domain of the function in interval notation: Find the...
Consider the function f(x)=arctan [(x+6)/(x+5)] Express the
domain of the function in interval notation: Find the y-intercept:
y= . Find all the x-intercepts (enter your answer as a
comma-separated list): x= . Does f have any symmetries? f is even;
f is odd; f is periodic; None of the above. Find all the asymptotes
of f (enter your answers as comma-separated list; if the list is
empty, enter DNE): Vertical asymptotes: ; Horizontal asymptotes: ;
Slant asymptotes: . Determine the...
Consider the function f(x)=arctan [(x+6)/(x+5)] Express the domain of the function in interval notation: Find the...
Consider the function f(x)=arctan [(x+6)/(x+5)]
Express the domain of the function in interval notation: Find
the y-intercept: y= . Find all the x-intercepts (enter your answer
as a comma-separated list): x= . Does f have any symmetries? f is
even; f is odd; f is periodic; None of the above. Find all the
asymptotes of f (enter your answers as comma-separated list; if the
list is empty, enter DNE): Vertical asymptotes: ; Horizontal
asymptotes: ; Slant asymptotes: . Determine the...
Solve the inequality. (Enter your answer using interval notation.) (x + 5)2(x + 2)(x − 1)...
Solve the inequality. (Enter your answer using interval
notation.)
(x + 5)2(x + 2)(x − 1) > 0
Find the average value have of the function h on the given interval. h(x) = 4...
Find the average value have of the function
h on the given interval.
h(x) = 4 cos4 x sin x, [0,
π]
1) Find the domain and range of the rational function y( x) = x^2-25 / 2x^2...
1) Find the domain and range of the rational function y( x) =
x^2-25 / 2x^2 + 13x+15
A) Factor the numerator and denominator
B) Determine the point of discontinuity if it exists.
Consider the function below. (If an answer does not exist, enter DNE.) h(x) = (x +...
Consider the function below. (If an answer does not exist, enter
DNE.)
h(x) = (x
+ 1)9 − 9x − 2
(a) Find the interval of increase. (Enter your answer using
interval notation.)
Find the interval of decrease. (Enter your answer using interval
notation.)
(b) Find the local minimum value(s). (Enter your answers as a
comma-separated list.)
Find the local maximum value(s). (Enter your answers as a
comma-separated list.)
(c) Find the inflection point.
(x, y) =
Find the interval...
The domain of the function h(x) = ln(x + 3) + x2 − 4 is (A)...
The domain of the function h(x) = ln(x + 3) + x2 − 4 is
(A) {x∈R| −3<x<−2or−2<x<0}
(B) {x∈R| −3<x<−2or−2<x≤0}
(C) {x∈R| −3≤x<−2or−2<x≤0}
(D) {x∈R| −3<x<−2or0≤x<2}
(E) {x∈R| −3<x<−2or(x≥0andx̸=2)} (F) None of (A) - (E)
Consider the function f(x)= x3 x2 − 1 Express the domain of the function in interval...
Consider the function
f(x)=
x3
x2 − 1
Express the domain of the function in interval notation:
Find the y-intercept: y=
.
Find all the x-intercepts (enter your answer as a
comma-separated list): x=
.
On which intervals is the function positive?
On which intervals is the function negative?
Does f have any symmetries?
f is even;f is
odd; f is periodic;None of
the above.
Find all the asymptotes of f (enter your answers as
equations):
Vertical asymptote (left):
;
Vertical...
The definition of a (well-defined) function f : X → Y . Meaning of domain, range,...
The definition of a (well-defined) function f : X → Y . Meaning of
domain, range, and co-domain
1.Suppose you have a function such that the domain of is −4≤x≤2 and the range of...
1.Suppose you have a function such that the domain of is
−4≤x≤2
and the range of is −1≤y≤6.
a. What is the domain and range of the
transformation
f(2(x+3))?
b. What is the domain and range of the
transformation
2f(x)−3?
c. How do you know your answers are
correct?
d. What can we say about how transformations affect the
domain and range of a function?
2. Suppose a local vendor charges $2 per hot dog and
that the number of...
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